Approximating common fixed points of noncommuting discontinuous weakly contractive mappings in metric spaces
Vasile Berinde
Abstract
carpathian_2009_25_1_013_022_abstractFull PDF
carpathian_2009_25_1_013_022In this paper we prove the existence of coincidence points and common fixed points for a large class of noncommuting discontinuous contractive type mappings in metric spaces. Moreover, a method for approximating the coincidence points and common fixed points is also constructed, for which both a priori and a posteriori error estimates are obtained. These results generalize, extend and unify several well-known recent related results in literature.
Related Products
-
Algorithms to determine the point of minimum of a real unimodal function on a set – a survey
-
Differential subordinations and superordinations for analytic functions defined by an integral operator
-
A survey of different integer programming formulations of the generalized minimum spanning tree problem
Recently posted
-
Efficient Reduction of Variances in Stochastic Spectral Conjugate Gradient Algorithm
-
Exponential stability for a wave equation with time-varying delay
-
Two-step inertial viscosity subgradient extragradient algorithm with self-adaptive step sizes for solving pseudomonotone equilibrium problems
-
On a wave equation with mixed dynamic boundary conditions
-
Algorithmic and Analytical Approach for a System of Generalized Multi-valued Resolvent Equations – Part II: Algorithms and Convergence
-
Fixed points vs best proximity points and a contraction map sets with an external factor
-
Semi-exponential Post-Widder operators
-
Optimal solutions of minimization problems via new best proximity point results on quasi metric spaces
-
On the geometry of diffeological vector pseudobundles and infinite dimensional vector bundles: automorphisms, connections and covariant derivatives
-
Naturally ordered transformation semigroups preserving an equivalence relation on an invariant set